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Finding the Third Proportional to 62,532 and 97,002

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Solution

The third proportional to 62,532 and 97,002 is: 150,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,532 : 97,002 = 97,002 : x
  2. Step 2: Convert to fraction form
    62,532/97,002 = 97,002/x
  3. Step 3: Cross multiply
    62,532x = 97,002 × 97,002
  4. Step 4: Simplify right side
    62,532x = 9,409,388,004
  5. Step 5: Solve for x
    x = 9,409,388,004/62,532
  6. Step 6: Final answer
    x = 150,473.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.